Energy partition of seismic coda waves in layered media: Theory and application to Pinyon Flats Observatory

Geophysical Journal International

Volumn 177, Issue 2, 2009, Pages 571-585

  Margerin, L ^a   Campillo, M ^b   Van Tiggelen, B A ^c   Hennino, R ^b,c  

^a AIX MARSEILLE UNIVERSITY   (France)

^b UNIVERSITÉ GRENOBLE ALPES   (France)

^c UNIVERSITÉ JOSEPH FOURIER   (France)

Author keywords

Guided waves; Site effects; Statistical seismology; Wave scattering and diffraction

Indexed keywords

CODA; COMPRESSION; DEFORMATION MECHANISM; EARTHQUAKE MECHANISM; EIGENVALUE; ELASTIC WAVE; ENERGY FLOW; GEOLOGICAL STRUCTURE; KINETIC ENERGY; LAYERED MEDIUM; LOVE WAVE; OBSERVATIONAL METHOD; RAYLEIGH WAVE; SIGNAL-TO-NOISE RATIO; THEORETICAL STUDY; WAVE DIFFRACTION; WAVE SCATTERING; WAVE SPECTRUM;

CALIFORNIA; NORTH AMERICA; UNITED STATES;

PINUS EDULIS;

EID: 64849087940     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2008.04068.x     Document Type: Article

References (34)

1. Aki, K., 1969. Analysis of the seismic coda of local earthquakes as scattered waves, J. geophys. Res., 74, 6215-6231.
2. Aki, K. & Chouet, B., 1975. Origin of coda waves: Source, attenuation, and scattering effects, J. geophys. Res., 80, 3322-3342.
3. Aki, K. & Richards, P.G., 2002. Quantitative Seismology, Theory and Methods, University Science Books, Sausalito.
4. Bard, P.-Y., 1998. Microtremor measurement: A tool for site effect estimation?, in The Effects of Surface Geology on Seismic Motion, pp. 1251-1279, Balkema, Rotterdam.
5. Bonnefoy-Claudet, S., Cornou, C., Bard, P.Y., Cotton, F., Moczo, P., Kristek, J. & Fäh, D., 2006. H/V ratio: A tool for site effects evaluation. results from 1-d noise simulations, Geophys. J. Int., 167, 827-837.
6. Dermenjian, Y. & Guillot, J.-C., 1985. Les ondes élastiques dans un demi-espace isotrope. Développement en fonctions propres généralisées. Principe d'absorption limite., C. R. Acad. Sci. Paris. Ser. I. Math., 301, 617-619.
7. Economou, E.N., 2005. Green's Functions in Quantum Physics, Springer-Verlag, Heidelberg.
8. Fletcher, J.B., Fumal, T., Liu, H. & Porcella, R., 1990. Near-surface velocities and attenuation at two bore-holes near Anza, Bull. seism. Soc. Am., 80, 807-831.
9. Hennino, R., Trégourès, N., Shapiro, N.M., Margerin, L., Campillo, M., van Tiggelen, B.A. & Weaver, R.L., 2001. Observation of equipartition of seismic waves, Phys. Rev. Lett., 86, 3447-3450.
10. Kennett, B.L.N., 1983. Seismic Wave Propagation in Stratified Media, Cambridge University Press, Cambridge.
11. Malcolm, A.E., Scales, J.A. & van Tiggelen, B.A., 2004. Extracting the Green function from diffuse, equipartitioned waves, Phys. Rev. E, 70, 015601.
12. Malischewsky, P.G. & Scherbaum, F., 2004. Love's formula and H/ V-ratio (ellipticity) of Rayleigh waves, Wave Motion, 40, 57-67.
13. Margerin, L., 2009. Generalized eigenfunctions of layered elastic media and application to diffuse fields, J. acoust. Soc. Am., 125, 164-174.
14. Margerin, L., Campillo, M. & Van Tiggelen, B., 2000. Monte Carlo simulation of multiple scattering of elastic waves, J. geophys. Res., 105, 7873-7892.
15. Maupin, V., 1996. The radiation modes of a vertically varying half-space-a new representation of the complete Green's function in terms of modes, Geophys. J. Int., 126, 762-780.
16. Paul, A., Campillo, M., Margerin, L., Larose, E. & Derode, A., 2005. Empirical synthesis of time-asymmetrical Green functions from the correlation of coda waves, J. geophys. Res., 110(B9), B08302.
17. Przybilla, J., Korn, M. & Wegler, U., 2006. Radiative transfer of elastic waves versus finite difference simulations in two-dimensional random media, J. geophys. Res., 111, B04305.
18. Ramm, A.G., 1986. Scattering by Obstacles, D. Reidel Publishing Company, Dordrecht.
19. Reed, M. & Simon, B., 1979. Scattering Theory, Volume 3 of Methods of Mathematical Physics, Academic Press, New York.
20. Ryzhik, L.V., Papanicolaou, G.C. & Keller, J.B., 1996. Transport equations for elastic and other waves in random media, Wave Motion, 24, 327-370.
21. Sato, H., 1994. Multiple isotropic scattering model including P-S conversions for the seismogram envelope formation, Geophys. J. Int., 117, 487-494.
22. Sécher, P., 1998. Étude spectrale du système différentiel 2 × 2 associéàun problème d'élasticité linéaire, Annales de la facultédes sciences de Toulouse, 7, 699-726.
23. Shapiro, N.M., Campillo, M., Margerin, L., Singh, S.K., Kostoglodov, V. & Pacheco, J., 2000. The energy partitioning and the diffusive character of the seismic coda, Bull. seism. Soc. Am., 90, 655-665.
24. Sheng, P., 1995. Introduction to Wave Scattering, Localization, and Mesoscopic Phenomena, Academic Press, San Diego.
25. Trégourès, N.P. & van Tiggelen, B.A., 2002. Quasi-two-dimensional transfer of elastic waves, Phys. Rev. E, 66(3), 036601.
26. Vernon, F.L., Fletcher, J., Carroll, L., Chave, A. & Sembera, E., 1991. Coherence of seismic body waves from local events as measured by a small-aperture array, J. geophys. Res., 96, 11981-11996.
27. Vernon, F.L., Pavlis, G.L., Owens, T.J., Macnamara, D.E. & Anderson, P.N., 1998. Near-surface scattering effects observed with a high-frequency phased array at Pinyon Flats, California, Bull. seism. Soc. Am., 88, 1548-1560.
28. Weaver, R.L., 1982. On diffuse waves in solid media, J. acoust. Soc. Am., 71, 1608-1609.
29. Weaver, R.L., 1985. Diffuse elastic waves at a free surface, J. acoust. Soc. Am., 78, 131-136.
30. Weaver, R.L., 1990. Diffusivity of ultrasound in polycrystals, J. Mech. Phys. Solids, 38, 55-86.
31. Wegler, U., Korn, M. & Przybilla, J., 2006. Modeling full seismogram envelopes using radiative transfer theory with born scattering coefficients, Pure appl. Geophysics, 163, 503-531.
32. Wilcox, C., 1984. Sound Propagation in Stratified Fluids, Volume 50 of Applied Mathematical Sciences, Springer-Verlag, Berlin and New York.
33. Wu, R.L., 1985. Multiple scattering and energy transfer of seismic waves-separation of scattering effect from intrinsic attenuation, I. Theoretical modeling, Geophys. J. R. astr. Soc., 82, 57-80.
34. Zeng, Y., 1993. Theory of scattered P- and S-wave energy in a random isotropic scattering medium, Bull. seism. Soc. Am., 83, 1264-1276.